Model of the boundary layer of a vibrationally excited dissociating gas

A physical-mathematical model of a plane supersonic boundary layer of a vibrationally excited dissociating gas in the Prandtl approximation is presented. The simplest case of a diatomic gas parameterized according to the data for nitrogen is considered. A number of simplified formulas for calculatin...

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Bibliographic Details
Published in:Thermophysics and aeromechanics 2021-09, Vol.28 (5), p.635-647
Main Authors: Grigoryev, Yu. N., Gorobchuk, A. G., Ershov, I. V.
Format: Article
Language:English
Subjects:
Boundary layer equations
Boundary layer stability
Chemical reactions
Diatomic gases
Dissociating gases
Enthalpy
Flat plates
High enthalpy wind tunnels
Hypersonic flight
Initial conditions
Mathematical models
Physics
Physics and Astronomy
Self-similarity
Supersonic boundary layers
Thermodynamics
Transport properties
Upper atmosphere
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Summary:A physical-mathematical model of a plane supersonic boundary layer of a vibrationally excited dissociating gas in the Prandtl approximation is presented. The simplest case of a diatomic gas parameterized according to the data for nitrogen is considered. A number of simplified formulas for calculating the transport coefficients and the dissociation and recombination rates for a molecular-atomic mixture, which are admissible for typical conditions of supersonic and hypersonic boundary layers, are substantiated. Comparative calculations of numerical and locally self-similar solutions of the boundary layer equations on a flat plate for typical conditions of a high-enthalpy wind tunnel and hypersonic flight in the upper atmosphere are performed. It is shown that the atomic concentration profiles calculated on the basis of these approaches differ significantly. In this regard, in order to adequately take into account the effect of chemical reactions in the boundary layer stability calculations, it is necessary to use the profiles of hydrodynamic parameters calculated numerically on the basis of full boundary layer equations. Locally self-similar solutions can serve as initial conditions for numerical calculations.
ISSN:0869-8643
1531-8699
DOI:10.1134/S0869864321050048